Properties

Label 21.5.a
Level $21$
Weight $5$
Character orbit 21.a
Rep. character $\chi_{21}(1,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $13$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 21.a (trivial)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(13\)
Trace bound: \(0\)

Dimensions

There are no modular forms of weight 5 and character 21.a since the weight is odd while the character is even.